Manchester City stat Sterling was shown a yellow for a tackle on Dele Alli but escaped a second booking after going down under a Hugo Lloris challenge.
VAR had deemed that the challenge wasn’t a penalty however referee Mike Dean chose not to book Sterling for simulation either.
And Mourinho was furious when informed that the England international had already picked up a booking earlier in the game.
In hilarious footage, Mourinho and assistant Joao Sacramento were seen laughing at Sterling’s attempt to win a penalty.
But after noting that he had already been booked, the pair stormed out of their seats and rushed towards the fourth official.
It was to no avail as Sterling remained on the pitch though Oleksandr Zinchenko was sent off later in the match.
That red card proved pivotal as Tottenham took advantage of the extra man to beat Pep Guardiola’s side 2-0 in north London.
Mourinho said: "With a few draws of people in the same area of the table as us, it was very important to get three points.
“We still have an eye on fourth. It was a match where you know the quality of the opponent.
“You want to win, but you can lose. I’m delighted with the boys.
"Only [VAR] Kevin Friend can explain why it was not a red card [for Raheem Sterling]. He has the chance to watch again.
“That decision would change the game. It would probably not be such an enjoyable game, one team with one player more for an hour is a big advantage. I think it’s a clear red card."
"It’s a pleasure to get three points in a match where we knew it would be very difficult.
“I have better feelings for Pep than you can imagine. We worked together for three years.”